Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-3 - 4 + 2\times5\right)2(-2)5 $$
Correct Answer
$$ -60$$ or -60.0000

2. Simplify 2

Simplify the following expression: $$ \left(-5\times2 + \frac{5}{2}\right)2(-(-1)) $$
Correct Answer
$$ -15$$ or -15.0000

3. Fractions 1

Simplify the following expression: $$ \frac{3}{2} + \frac{3}{4} $$
Correct Answer
$$ \frac{9}{4}$$ or 2.25

4. Fractions 2

Simplify the following expression: $$ \frac{-1}{5}\frac{1}{2} $$
Correct Answer
$$ \frac{-1}{10}$$ or -0.1

5. Significant figures

1. Write the following to 3 significant figures: 12080.319
Correct Answer
12100 or $$1.21\times10^{4}$$
2. Write the following to 3 significant figures: 500.62674
Correct Answer
501 or $$5.01\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 0.0000932869
Correct Answer
$$9.3287\times10^{-5}$$
2. Write the following in standard form to 5 significant digits: 0.0000000769144
Correct Answer
$$7.6914\times10^{-8}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 1.380
Correct Answer
$$1.38\times10^{0}$$
2. Write the following in preferred standard form to 2 significant digits: 46820
Correct Answer
$$47\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ \frac{2(-2)(-1)}{\frac{5}{2} - 2\times3} $$
Correct Answer
$$ \frac{-8}{7}$$ or -1.14286

9. Simplify 1

Simplify the following expression: $$ 2\times3\times3 - \left(-1 + 4 + 6 - 3\right) $$
Correct Answer
$$ 12$$ or 12.0000

10. Simplify 2

Simplify the following expression: $$ 2\left(2 - 1\right) - \left(4 + 5\right)\left(6 + 4\right) $$
Correct Answer
$$ -88$$ or -88.0000


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